[原创]k生素数群的数量公式

白新岭 · 发表于 2019-8-28 19:54

本帖最后由白新岭于 2019-9-1 06:14 编辑

n(10的次幂）最密89生素数的数量L504
181 4.000000000000000000E+00
182 2.800000000000000000E+01
183 1.760000000000000000E+02
184 1.087000000000000000E+03
185 6.703000000000000000E+03
186 4.143000000000000000E+04
187 2.567190000000000000E+05
188 1.594806000000000000E+06
189 9.932472000000000000E+06
190 6.201488400000000000E+07
191 3.881612830000000000E+08
192 2.435538004000000000E+09
193 1.531908750300000000E+10
194 9.658623055000000000E+10
195 6.104232763000000000E+11
196 3.866961797611000000E+12
197 2.455393764583600000E+13
198 1.562696319461680000E+14
199 9.968276198382930000E+14
200 6.373053755637730000E+15
201 4.083638679443340000E+16
202 2.622464113059360000E+17
203 1.687814724330630000E+18
204 1.088638168271760000E+19
205 7.036823286356710000E+19
206 4.558216046078360000E+20
207 2.958893560990850000E+21
208 1.924735650802520000E+22
209 1.254617704017700000E+23
210 8.194862934877380000E+23
211 5.363563782223700000E+24
212 3.517534052738080000E+25
213 2.311468759540240000E+26
214 1.521929272300630000E+27
215 1.004036771510800000E+28
216 6.636598847288820000E+28
217 4.395158288101820000E+29
218 2.916277117763020000E+30
219 1.938656183447010000E+31
220 1.291168898070520000E+32
221 8.615256237988970000E+32
222 5.759024787523780000E+33
223 3.856720142209070000E+34
224 2.587430263841960000E+35
225 1.738975828694580000E+36
226 1.170808616776030000E+37
227 7.896578322120610000E+37
228 5.335141559032570000E+38
229 3.610773847704560000E+39
230 2.447909940440690000E+40
231 1.662359466449720000E+41
232 1.130791246342600000E+42
233 7.704804864719850000E+42
234 5.258433155673680000E+43
235 3.594681829383600000E+44
236 2.461318956105910000E+45
237 1.688001044463220000E+46
238 1.159495343167070000E+47
239 7.977209040960440000E+47
240 5.496837007542170000E+48

白新岭 · 发表于 2019-9-1 14:59

素数式90 素数式90 素数式90 素数式90
0 0 0 0
2 2 2 2
4 4 6 6
6 6 12 12
2 8 14 20
10 4 24 24
2 2 26 26
6 4 32 30
10 2 42 32
2 22 44 54
12 2 56 56
4 4 60 60
2 2 62 62
4 4 66 66
6 8 72 74
8 10 80 84
4 2 84 86
2 4 86 90
4 6 90 96
12 8 102 104
2 10 104 114
6 2 110 116
4 6 114 122
2 4 116 126
16 6 132 132
12 8 144 140
2 4 146 144
4 6 150 150
14 2 164 152
6 12 170 164
4 6 174 170
6 4 180 174
2 8 182 182
4 10 186 192
6 2 192 194
2 6 194 200
6 6 200 206
10 4 210 210
6 6 216 216
6 6 222 222
12 8 234 230
2 6 236 236
4 4 240 240
2 2 242 242
10 10 252 252
2 2 254 254
10 10 264 264
2 2 266 266
4 4 270 270
6 2 276 272
8 12 284 284
6 6 290 290
6 6 296 296
4 10 300 306
6 6 306 312
6 2 312 314
2 6 314 320
10 4 324 324
8 2 332 326
4 6 336 332
6 4 342 336
12 6 354 342
2 14 356 356
6 4 362 360
4 2 366 362
8 12 374 374
6 16 380 390
4 2 384 392
6 4 390 396
2 6 392 402
10 2 402 404
8 12 410 416
6 4 416 420
4 2 420 422
2 4 422 426
10 8 432 434
8 6 440 440
4 4 444 444
2 2 446 446
4 4 450 450
2 12 452 462
22 2 474 464
2 10 476 474
4 6 480 480
2 2 482 482
4 10 486 492
8 2 494 494
6 6 500 500
4 4 504 504
2 2 506 506
506 506 22730 22810
这是最密90生素数式（在最密89生素数式难找到的情况下，这最密90生素数式就容易多了）。

白新岭 · 发表于 2019-9-1 15:34

最密90生素数的最终系数C90(L506)=1.37660757492498E+53

白新岭 · 发表于 2019-9-1 15:36

n(10的次幂）最密90生素数的数量L506
183 1.000000000000000000E+00
184 6.000000000000000000E+00
185 3.900000000000000000E+01
186 2.430000000000000000E+02
187 1.499000000000000000E+03
188 9.262000000000000000E+03
189 5.738300000000000000E+04
190 3.563900000000000000E+05
191 2.218983000000000000E+06
192 1.385034700000000000E+07
193 8.666315700000000000E+07
194 5.435812170000000000E+08
195 3.417744273000000000E+09
196 2.154017050200000000E+10
197 1.360763288240000000E+11
198 8.616472231580000000E+11
199 5.468643433784000000E+12
200 3.478746863786500000E+13
201 2.217936997339500000E+14
202 1.417258077282240000E+15
203 9.076373944304700000E+15
204 5.825457171438580000E+16
205 3.747075729413090000E+17
206 2.415408096462580000E+18
207 1.560324966795050000E+19
208 1.010083145786830000E+20
209 6.552512861880840000E+20
210 4.259499987934860000E+21
211 2.774602402791560000E+22
212 1.811030774336500000E+23
213 1.184473901517430000E+24
214 7.762319799192720000E+24
215 5.097014010435310000E+25
216 3.353438833093040000E+26
217 2.210585580713110000E+27
218 1.460020264730460000E+28
219 9.661340186641580000E+28
220 6.405237574507220000E+29
221 4.254465730046270000E+30
222 2.831127174185110000E+31
223 1.887430768833420000E+32
224 1.260587007963660000E+33
225 8.434468160196050000E+33
226 5.653516839567360000E+34
227 3.796198480712860000E+35
228 2.553533620544260000E+36
229 1.720639947789330000E+37
230 1.161415363683950000E+38
231 7.852858169970660000E+38
232 5.318683231391330000E+39
233 3.608363892167160000E+40
234 2.452110801741240000E+41
235 1.669118691910870000E+42
236 1.138008765048050000E+43
237 7.771578092075970000E+43
238 5.315842290522710000E+44
239 3.641902730245950000E+45
240 2.499034029446710000E+46
241 1.717504308807570000E+47
242 1.182223734149510000E+48

蔡家雄 · 发表于 2019-9-1 16:51

计算了那么多天！白老师，您辛苦了！

白新岭 · 发表于 2019-9-2 12:28

素数式91 素数式91 素数式91 素数式91 素数式91 素数式91
0 0 0 0 0 0
4 2 4 2 2 6
2 4 2 4 4 4
4 6 4 6 6 2
2 2 2 8 2 4
4 10 10 6 12 6
14 2 12 4 6 2
10 4 2 6 4 6
2 2 4 6 6 4
4 12 2 2 2 6
6 12 18 10 6 2
2 4 4 2 6 10
12 6 2 24 4 12
4 8 4 6 2 2
2 12 6 4 24 4
4 4 6 6 4 2
6 6 2 8 2 4
2 6 10 10 10 6
6 2 2 6 2 8
4 10 6 2 6 6
2 2 18 4 4 4
4 10 4 6 2 12
14 6 2 2 4 2
16 8 4 6 6 6
2 4 6 6 6 6
4 2 8 10 2 10
6 6 6 8 10 6
2 12 4 10 2 8
6 6 6 2 6 4
4 4 2 4 18 6
2 6 10 2 4 2
10 2 2 10 6 4
6 4 6 12 2 8
2 6 6 2 4 6
6 8 6 4 8 12
4 6 4 2 6 4
2 4 6 18 4 6
6 2 12 4 6 2
4 10 2 2 2 12
6 8 4 4 4 4
8 4 12 6 6 6
4 2 2 6 8 6
6 4 12 12 10 8
2 2 4 2 2 4
4 10 2 6 4 6
14 12 12 4 6 2
4 2 6 14 12 12
6 6 4 4 2 10
2 4 2 2 4 2
12 8 10 6 12 4
6 6 8 4 2 2
6 6 6 8 12 4
4 4 4 6 4 8
2 12 2 4 2 10
4 2 6 6 12 2
18 6 4 2 6 4
2 4 6 4 4 6
4 12 8 6 6 8
2 6 4 2 6 6
12 8 2 6 6 4
10 4 6 10 2 2
2 2 4 2 10 6
4 6 18 4 2 4
2 4 6 6 6 6
10 8 2 2 4 12
8 6 10 6 6 6
10 10 2 4 8 2
6 6 6 2 6 4
6 6 6 16 4 8
2 2 4 14 2 6
6 12 2 4 4 10
4 4 4 2 18 2
2 6 6 4 6 10
6 8 2 6 2 2
10 6 10 2 10 6
8 4 2 6 2 6
6 2 4 4 6 4
4 4 24 2 6 12
6 2 2 4 4 8
24 12 4 12 2 6
2 10 6 2 4 4
10 2 6 6 18 12
2 6 2 4 2 12
6 4 6 2 4 2
6 6 4 10 2 4
4 2 6 14 12 2
6 6 12 4 10 10
8 4 2 2 2 2
6 2 6 4 4 6
4 4 4 2 2 4
2 6 2 4 4 2
516 516 516 516 516 516

白新岭 · 发表于 2019-9-2 12:28

素数式91 素数式91 素数式91 素数式91 素数式91 素数式91
0 0 0 0 0 0
4 2 4 2 2 6
2 4 2 4 4 4
4 6 4 6 6 2
2 2 2 8 2 4
4 10 10 6 12 6
14 2 12 4 6 2
10 4 2 6 4 6
2 2 4 6 6 4
4 12 2 2 2 6
6 12 18 10 6 2
2 4 4 2 6 10
12 6 2 24 4 12
4 8 4 6 2 2
2 12 6 4 24 4
4 4 6 6 4 2
6 6 2 8 2 4
2 6 10 10 10 6
6 2 2 6 2 8
4 10 6 2 6 6
2 2 18 4 4 4
4 10 4 6 2 12
14 6 2 2 4 2
16 8 4 6 6 6
2 4 6 6 6 6
4 2 8 10 2 10
6 6 6 8 10 6
2 12 4 10 2 8
6 6 6 2 6 4
4 4 2 4 18 6
2 6 10 2 4 2
10 2 2 10 6 4
6 4 6 12 2 8
2 6 6 2 4 6
6 8 6 4 8 12
4 6 4 2 6 4
2 4 6 18 4 6
6 2 12 4 6 2
4 10 2 2 2 12
6 8 4 4 4 4
8 4 12 6 6 6
4 2 2 6 8 6
6 4 12 12 10 8
2 2 4 2 2 4
4 10 2 6 4 6
14 12 12 4 6 2
4 2 6 14 12 12
6 6 4 4 2 10
2 4 2 2 4 2
12 8 10 6 12 4
6 6 8 4 2 2
6 6 6 8 12 4
4 4 4 6 4 8
2 12 2 4 2 10
4 2 6 6 12 2
18 6 4 2 6 4
2 4 6 4 4 6
4 12 8 6 6 8
2 6 4 2 6 6
12 8 2 6 6 4
10 4 6 10 2 2
2 2 4 2 10 6
4 6 18 4 2 4
2 4 6 6 6 6
10 8 2 2 4 12
8 6 10 6 6 6
10 10 2 4 8 2
6 6 6 2 6 4
6 6 6 16 4 8
2 2 4 14 2 6
6 12 2 4 4 10
4 4 4 2 18 2
2 6 6 4 6 10
6 8 2 6 2 2
10 6 10 2 10 6
8 4 2 6 2 6
6 2 4 4 6 4
4 4 24 2 6 12
6 2 2 4 4 8
24 12 4 12 2 6
2 10 6 2 4 4
10 2 6 6 18 12
2 6 2 4 2 12
6 4 6 2 4 2
6 6 4 10 2 4
4 2 6 14 12 2
6 6 12 4 10 10
8 4 2 2 2 2
6 2 6 4 4 6
4 4 4 2 2 4
2 6 2 4 4 2
516 516 516 516 516 516

白新岭 · 发表于 2019-9-2 12:29

最密91生素数的最终系数C91(L516)=1.97868417245879E+54

白新岭 · 发表于 2019-9-2 12:30

n(10的次幂）最密91生素数的数量L516
185 1.000000000000000000E+00
186 8.000000000000000000E+00
187 5.000000000000000000E+01
188 3.080000000000000000E+02
189 1.900000000000000000E+03
190 1.174300000000000000E+04
191 7.273100000000000000E+04
192 4.515960000000000000E+05
193 2.810996000000000000E+06
194 1.754033100000000000E+07
195 1.097165470000000000E+08
196 6.879429720000000000E+08
197 4.323824156000000000E+09
198 2.724007870500000000E+10
199 1.720137138310000000E+11
200 1.088734421106000000E+12
201 6.906769173320000000E+12
202 4.391492328877200000E+13
203 2.798489950728840000E+14
204 1.787311274693940000E+15
205 1.144015696735340000E+16
206 7.338541944660660000E+16
207 4.717635555677230000E+17
208 3.039252192816020000E+18
209 1.962130543679500000E+19
210 1.269401655906290000E+20
211 8.229463913411700000E+20
212 5.346096526546090000E+21
213 3.480057162965070000E+22
214 2.269927438307240000E+23
215 1.483560929516470000E+24
216 9.715351811560760000E+24
217 6.374754086892740000E+25
218 4.190947674530400000E+26
219 2.760559971624240000E+27
220 1.821841677465160000E+28
221 1.204606039916270000E+29
222 7.979817463918260000E+29
223 5.295988780977040000E+30
224 3.521276226315280000E+31
225 2.345551263004620000E+32
226 1.565216843111920000E+33
227 1.046361837609570000E+34
228 7.007453192215980000E+34
229 4.701134564127810000E+35
230 3.159385647964340000E+36
231 2.126931416375060000E+37
232 1.434328768536700000E+38
233 9.689065360178120000E+38
234 6.556116670681940000E+39
235 4.443618978028340000E+40
236 3.016797249900370000E+41
237 2.051485746320040000E+42
238 1.397326610750460000E+43
239 9.532974987018670000E+43
240 6.514096704405620000E+44
241 4.458300876761950000E+45
242 3.056104809805490000E+46
243 2.098191655610700000E+47
244 1.442761422760030000E+48

白新岭 · 发表于 2019-9-2 16:59

素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92 素数式92
0 0 0 0 0 0 0 0 0 0 0 0
4 4 2 2 2 6 4 2 6 6 4 2
2 8 6 4 4 6 6 4 4 2 6 10
4 6 4 2 6 4 2 6 2 4 2 2
2 16 2 4 2 2 4 2 4 6 12 4
4 6 4 6 12 4 14 10 2 8 6 2
14 2 2 8 6 6 4 2 10 6 4 12
10 6 10 10 4 2 6 4 12 4 6 6
2 6 12 6 6 6 2 2 2 6 2 4
4 4 2 6 2 4 4 12 4 6 6 2
6 2 4 2 6 6 6 12 2 2 6 4
2 4 2 12 6 2 2 4 18 10 4 6
12 6 18 6 4 10 12 6 4 2 2 8
4 8 4 4 2 12 4 8 2 24 24 6
2 4 2 6 24 2 14 12 4 6 4 4
4 2 4 8 4 4 6 4 6 4 2 12
6 4 6 4 2 2 6 6 6 6 10 6
2 12 6 2 10 4 4 6 2 8 2 8
6 2 2 4 2 6 12 2 10 10 6 4
4 10 10 6 6 8 2 10 2 6 4 2
2 2 2 8 4 6 10 2 6 2 2 4
4 16 6 6 2 4 2 10 18 4 4 2
14 2 18 12 4 12 4 6 4 6 6 4
16 6 4 4 6 2 2 8 2 2 6 8
2 4 2 6 6 6 4 4 4 6 2 6
4 6 4 2 2 6 6 2 6 6 10 4
6 6 6 6 10 10 2 6 8 10 2 12
2 6 8 6 2 6 6 12 6 8 6 8
6 8 6 6 6 8 6 6 4 10 18 6
4 4 4 4 18 4 16 4 6 2 4 10
2 2 6 6 4 6 2 6 2 4 6 2
10 6 2 2 6 2 10 2 10 2 2 4
6 10 10 6 2 4 2 4 2 10 4 6
2 8 2 4 4 8 6 6 6 12 8 2
6 6 6 2 8 6 10 8 6 2 6 10
4 4 6 6 6 12 8 6 6 4 4 6
2 2 6 10 4 4 4 4 4 2 6 2
6 4 4 2 6 6 2 2 6 18 2 10
4 8 6 10 2 2 4 10 12 4 4 2
6 10 12 6 4 12 2 8 2 2 6 10
8 6 2 6 6 4 18 4 4 4 8 2
4 2 4 6 8 6 4 2 12 6 10 6
6 4 12 8 10 6 6 4 2 6 2 4
2 8 2 4 2 8 2 2 12 12 4 6
4 12 12 2 4 4 4 10 4 2 6 8
14 4 4 4 6 6 6 12 2 6 12 4
4 2 2 14 12 2 14 2 12 4 2 2
6 4 12 6 2 12 4 6 6 14 4 4
2 8 6 4 4 10 2 4 4 4 12 12
12 6 4 2 12 2 4 8 2 2 2 8
6 4 2 6 2 4 8 6 10 6 12 4
6 6 10 4 12 2 6 6 8 4 4 2
4 2 8 18 4 4 6 4 6 8 2 6
2 10 6 2 2 8 6 12 4 6 12 10
4 2 4 4 12 10 10 2 2 4 6 8
18 10 2 2 6 2 2 6 6 6 4 4
2 2 6 4 4 4 10 4 4 2 6 2
4 6 4 8 6 6 6 12 6 4 6 4
2 10 6 10 6 8 2 6 8 6 6 6
12 2 8 6 6 6 4 8 4 2 2 8
10 6 4 2 2 4 6 4 2 6 10 10
2 4 2 10 10 2 2 2 6 10 2 6
4 2 6 2 2 6 6 6 4 2 6 2
2 10 4 16 6 4 4 4 18 4 4 4
10 6 18 6 4 6 6 8 6 6 6 8
8 8 6 6 6 12 6 6 2 2 8 6
10 12 2 2 8 6 6 10 10 6 6 6
6 4 10 6 6 2 2 6 2 4 4 6
6 6 2 4 4 4 6 6 6 2 2 4
2 8 6 2 2 8 4 2 6 16 4 6
6 4 6 4 4 6 12 12 4 14 18 2
4 2 4 2 18 10 6 4 2 4 6 16
2 4 2 10 6 2 8 6 4 2 2 2
6 2 4 2 2 10 6 8 6 4 10 10
10 4 6 12 10 2 4 6 2 6 2 2
8 8 2 4 2 6 2 4 10 2 6 12
6 6 10 6 6 6 4 2 2 6 6 4
4 12 2 6 6 4 8 4 4 4 4 2
6 4 4 14 4 12 6 2 24 2 2 4
24 6 24 4 2 8 4 12 2 4 4 8
2 8 2 12 4 6 6 10 4 12 18 6
10 6 4 2 18 4 12 2 6 2 2 4
2 4 6 6 2 12 2 6 6 6 4 2
6 2 6 4 4 12 6 4 2 4 2 4
6 4 2 2 2 2 6 6 6 2 12 6
4 6 6 6 12 4 10 2 4 10 10 6
6 12 4 4 10 2 8 6 6 14 2 2
8 2 6 14 2 10 6 4 12 4 4 6
6 4 12 4 4 2 4 2 2 2 2 16
4 2 2 2 2 6 2 4 6 4 4 6
2 10 6 6 4 4 4 6 4 2 6 8
6 2 4 4 6 2 2 6 2 4 2 4
522 522 522 522 522 522 522 522 522 522 522 522
这是最密92生素数式，找了1小时20多分钟。

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[原创]k生素数群的数量公式

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